Question: 1. An extension of the classical model involves the use of areas. A certain region L (say of land) is taken as a reference. For any subregion A, define P (A) = area (A) =area (L). Show that P (·) is a probability measure on the subregions of L.

2. John thinks the probability the Houston Texans will win next Sunday is 0.3 and the probability the Dallas Cowboys will win is 0.7 (they are not playing each other). He thinks the probability both will win is somewhere between say, 0.5. Is that a reasonable assumption? Justify your answer.